Abstract
The stability of the homogeneously broadened and degenerate two-photon running wave laser is analysed by using the full set of matter-field equations. The stability depends on the relative size of the relaxation constants. For 2 k>1+r(k=κ/γ⊥, r=γ∥/γ⊥; κ is the cavity loss of the field and γ∥,γ⊥ are the longitudinal and transversal decay constants, respectively) no stable lasing state exists. For r<k<(1+r)/2 an instability occurs. With the decrease in pumping the stable lasing state loses its stability due to Hopf-bifurcation.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 157-162 |
| Number of pages | 6 |
| Journal | Zeitschrift für Physik B Condensed Matter |
| Volume | 77 |
| Issue number | 1 |
| DOIs | |
| State | Published - Feb 1989 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Condensed Matter Physics
- Electronic, Optical and Magnetic Materials
Cite this
Instability in degenerate two-photon running wave laser. / Ning, Cun-Zheng; Haken, Hermann.
In: Zeitschrift für Physik B Condensed Matter, Vol. 77, No. 1, 02.1989, p. 157-162.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Instability in degenerate two-photon running wave laser
AU - Ning, Cun-Zheng
AU - Haken, Hermann
PY - 1989/2
Y1 - 1989/2
N2 - The stability of the homogeneously broadened and degenerate two-photon running wave laser is analysed by using the full set of matter-field equations. The stability depends on the relative size of the relaxation constants. For 2 k>1+r(k=κ/γ⊥, r=γ∥/γ⊥; κ is the cavity loss of the field and γ∥,γ⊥ are the longitudinal and transversal decay constants, respectively) no stable lasing state exists. For r
AB - The stability of the homogeneously broadened and degenerate two-photon running wave laser is analysed by using the full set of matter-field equations. The stability depends on the relative size of the relaxation constants. For 2 k>1+r(k=κ/γ⊥, r=γ∥/γ⊥; κ is the cavity loss of the field and γ∥,γ⊥ are the longitudinal and transversal decay constants, respectively) no stable lasing state exists. For r
UR - http://www.scopus.com/inward/record.url?scp=0009180372&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0009180372&partnerID=8YFLogxK
U2 - 10.1007/BF01313633
DO - 10.1007/BF01313633
M3 - Article
AN - SCOPUS:0009180372
VL - 77
SP - 157
EP - 162
JO - Zeitschrift für Physik B Condensed Matter and Quanta
JF - Zeitschrift für Physik B Condensed Matter and Quanta
SN - 0340-224X
IS - 1
ER -